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66189078 = 232232937149
BaseRepresentation
bin1111110001111…
…1011100010110
311121112202100100
43330133130112
5113421022303
610322354530
71432412034
oct374373426
9147482310
1066189078
11343a891a
121a1bba46
1310936047
148b0d554
155c268a3
hex3f1f716

66189078 has 96 divisors (see below), whose sum is σ = 160056000. Its totient is φ = 19692288.

The previous prime is 66189059. The next prime is 66189089. The reversal of 66189078 is 87098166.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444148 + ... + 444296.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 266189078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66189078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028000).

66189078 is an abundant number, since it is smaller than the sum of its proper divisors (93866922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66189078 is a wasteful number, since it uses less digits than its factorization.

66189078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 66189078 is about 8135.6670285847. The cubic root of 66189078 is about 404.5095480528.

The spelling of 66189078 in words is "sixty-six million, one hundred eighty-nine thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 23 29 37 46 58 69 74 87 111 138 149 174 207 222 261 298 333 414 447 522 666 667 851 894 1073 1334 1341 1702 2001 2146 2553 2682 3219 3427 4002 4321 5106 5513 6003 6438 6854 7659 8642 9657 10281 11026 12006 12963 15318 16539 19314 20562 24679 25926 30843 33078 38889 49358 49617 61686 74037 77778 99234 99383 126799 148074 159877 198766 222111 253598 298149 319754 380397 444222 479631 596298 760794 894447 959262 1141191 1438893 1788894 2282382 2877786 3677171 7354342 11031513 22063026 33094539 66189078